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(2x-3)(x-1)x(x+2)=-3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
(2*x - 3)*(x - 1)*x*(x + 2) = -3
$$x \left(x - 1\right) \left(2 x - 3\right) \left(x + 2\right) = -3$$
Gráfica
Respuesta rápida [src]
                        ____________________________________________________________________________________________________________________________________________                                                                           
                       /              __________________                                                                                                                                                                                       
                      /              /          _______                                                                                                                                                                                        
                     /   115        /  3985   \/ 63429                139                                                   135                                                                                                                
                    /    --- - 2*3 /   ---- + ---------  - -------------------------- + ---------------------------------------------------------------------------                                                                            
                   /      24     \/    3456      384               __________________                ______________________________________________________________              ______________________________________________________________
                  /                                               /          _______                /              __________________                                           /              __________________                              
                 /                                               /  3985   \/ 63429                /              /          _______                                           /              /          _______                               
                /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139                        /   115        /  3985   \/ 63429                139             
               /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------           /    --- + 2*3 /   ---- + ---------  + -------------------------- 
              /                                                                                 /      48     \/    3456      384               __________________          /      48     \/    3456      384               __________________ 
             /                                                                                 /                                               /          _______          /                                               /          _______  
            /                                                                                 /                                               /  3985   \/ 63429          /                                               /  3985   \/ 63429   
           /                                                                                 /                                          72*3 /   ---- + ---------        /                                          72*3 /   ---- + ---------  
     1   \/                                                                                \/                                              \/    3456      384         \/                                              \/    3456      384     
x1 = - + ----------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------
     8                                                                                2                                                                                                                   2                                    
$$x_{1} = - \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{1}{8} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2}$$
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                                                                                                  /              __________________                                                                                                            
                                                                                                 /              /          _______                                                                                                             
                                                                                                /   115        /  3985   \/ 63429                139                                                   135                                     
                                                                                               /    --- - 2*3 /   ---- + ---------  - -------------------------- + --------------------------------------------------------------------------- 
                   ______________________________________________________________             /      24     \/    3456      384               __________________                ______________________________________________________________ 
                  /              __________________                                          /                                               /          _______                /              __________________                               
                 /              /          _______                                          /                                               /  3985   \/ 63429                /              /          _______                                
                /   115        /  3985   \/ 63429                139                       /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139              
               /    --- + 2*3 /   ---- + ---------  + --------------------------          /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------  
              /      48     \/    3456      384               __________________         /                                                                                 /      48     \/    3456      384               __________________  
             /                                               /          _______         /                                                                                 /                                               /          _______   
            /                                               /  3985   \/ 63429         /                                                                                 /                                               /  3985   \/ 63429    
           /                                          72*3 /   ---- + ---------       /                                                                                 /                                          72*3 /   ---- + ---------   
     1   \/                                              \/    3456      384        \/                                                                                \/                                              \/    3456      384      
x2 = - - ------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                      2                                                                                                                    2                                                                             
$$x_{2} = - \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2} + \frac{1}{8}$$
                                                                                                     ______________________________________________________________________________________________________________________________________________
                                                                                                    /                __________________                                                                                                            
                                                                                                   /                /          _______                                                                                                             
                                                                                                  /     115        /  3985   \/ 63429                                         135                                                  139             
                                                                                    I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + -------------------------- 
                   ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________ 
                  /              __________________                                            /                                                      /              __________________                                        /          _______  
                 /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429   
                /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------  
               /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384     
              /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                               
             /                                               /          _______           /                                                      /                                               /          _______                                
            /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                 
           /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                
     1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                   
x3 = - + ------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                      2                                                                                                                      2                                                                               
$$x_{3} = \frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}$$
                                                                                                     ______________________________________________________________________________________________________________________________________________
                                                                                                    /                __________________                                                                                                            
                                                                                                   /                /          _______                                                                                                             
                                                                                                  /     115        /  3985   \/ 63429                                         135                                                  139             
                                                                                    I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + -------------------------- 
                   ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________ 
                  /              __________________                                            /                                                      /              __________________                                        /          _______  
                 /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429   
                /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------  
               /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384     
              /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                               
             /                                               /          _______           /                                                      /                                               /          _______                                
            /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                 
           /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                
     1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                   
x4 = - + ------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                      2                                                                                                                      2                                                                               
$$x_{4} = \frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}$$
x4 = 1/8 + sqrt(139/(72*(sqrt(63429)/384 + 3985/3456)^(1/3)) + 115/48 + 2*(sqrt(63429)/384 + 3985/3456)^(1/3))/2 + i*sqrt(-115/24 + 139/(72*(sqrt(63429)/384 + 3985/3456)^(1/3)) + 135/(32*sqrt(139/(72*(sqrt(63429)/384 + 3985/3456)^(1/3)) + 115/48 + 2*(sqrt(63429)/384 + 3985/3456)^(1/3))) + 2*(sqrt(63429)/384 + 3985/3456)^(1/3))/2
Suma y producto de raíces [src]
suma
                   ____________________________________________________________________________________________________________________________________________                                                                                                                                                                            ____________________________________________________________________________________________________________________________________________                                                                                                   ______________________________________________________________________________________________________________________________________________                                                                                                   ______________________________________________________________________________________________________________________________________________
                  /              __________________                                                                                                                                                                                                                                                                                       /              __________________                                                                                                                                                                                                              /                __________________                                                                                                                                                                                                              /                __________________                                                                                                            
                 /              /          _______                                                                                                                                                                                                                                                                                       /              /          _______                                                                                                                                                                                                              /                /          _______                                                                                                                                                                                                              /                /          _______                                                                                                             
                /   115        /  3985   \/ 63429                139                                                   135                                                                                                                                                                                                              /   115        /  3985   \/ 63429                139                                                   135                                                                                                                                     /     115        /  3985   \/ 63429                                         135                                                  139                                                                                                             /     115        /  3985   \/ 63429                                         135                                                  139             
               /    --- - 2*3 /   ---- + ---------  - -------------------------- + ---------------------------------------------------------------------------                                                                                                                                                                         /    --- - 2*3 /   ---- + ---------  - -------------------------- + ---------------------------------------------------------------------------                                                                                   I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + --------------------------                                                                                   I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + -------------------------- 
              /      24     \/    3456      384               __________________                ______________________________________________________________              ______________________________________________________________                 ______________________________________________________________             /      24     \/    3456      384               __________________                ______________________________________________________________                  ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________                  ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________ 
             /                                               /          _______                /              __________________                                           /              __________________                                              /              __________________                                          /                                               /          _______                /              __________________                                               /              __________________                                            /                                                      /              __________________                                        /          _______                  /              __________________                                            /                                                      /              __________________                                        /          _______  
            /                                               /  3985   \/ 63429                /              /          _______                                           /              /          _______                                              /              /          _______                                          /                                               /  3985   \/ 63429                /              /          _______                                               /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429                  /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429   
           /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139                        /   115        /  3985   \/ 63429                139                           /   115        /  3985   \/ 63429                139                       /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139                            /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------                /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------  
          /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------           /    --- + 2*3 /   ---- + ---------  + --------------------------              /    --- + 2*3 /   ---- + ---------  + --------------------------          /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------               /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384                  /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384     
         /                                                                                 /      48     \/    3456      384               __________________          /      48     \/    3456      384               __________________             /      48     \/    3456      384               __________________         /                                                                                 /      48     \/    3456      384               __________________              /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                                           /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                               
        /                                                                                 /                                               /          _______          /                                               /          _______             /                                               /          _______         /                                                                                 /                                               /          _______              /                                               /          _______           /                                                      /                                               /          _______                                           /                                               /          _______           /                                                      /                                               /          _______                                
       /                                                                                 /                                               /  3985   \/ 63429          /                                               /  3985   \/ 63429             /                                               /  3985   \/ 63429         /                                                                                 /                                               /  3985   \/ 63429              /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                           /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                 
      /                                                                                 /                                          72*3 /   ---- + ---------        /                                          72*3 /   ---- + ---------           /                                          72*3 /   ---- + ---------       /                                                                                 /                                          72*3 /   ---- + ---------            /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                         /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                
1   \/                                                                                \/                                              \/    3456      384         \/                                              \/    3456      384        1   \/                                              \/    3456      384        \/                                                                                \/                                              \/    3456      384         1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                      1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                   
- + ----------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------ + - - ------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
8                                                                                2                                                                                                                   2                                       8                                      2                                                                                                                    2                                                                                8                                      2                                                                                                                      2                                                                                  8                                      2                                                                                                                      2                                                                               
$$\left(\left(\left(- \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2} + \frac{1}{8}\right) + \left(- \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{1}{8} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2}\right)\right) + \left(\frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}\right)\right) + \left(\frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}\right)$$
=
1/2
$$\frac{1}{2}$$
producto
/                   ____________________________________________________________________________________________________________________________________________                                                                           \ /                                                                                              ____________________________________________________________________________________________________________________________________________\ /                                                                                                ______________________________________________________________________________________________________________________________________________\ /                                                                                                ______________________________________________________________________________________________________________________________________________\
|                  /              __________________                                                                                                                                                                                       | |                                                                                             /              __________________                                                                                                            | |                                                                                               /                __________________                                                                                                            | |                                                                                               /                __________________                                                                                                            |
|                 /              /          _______                                                                                                                                                                                        | |                                                                                            /              /          _______                                                                                                             | |                                                                                              /                /          _______                                                                                                             | |                                                                                              /                /          _______                                                                                                             |
|                /   115        /  3985   \/ 63429                139                                                   135                                                                                                                | |                                                                                           /   115        /  3985   \/ 63429                139                                                   135                                     | |                                                                                             /     115        /  3985   \/ 63429                                         135                                                  139             | |                                                                                             /     115        /  3985   \/ 63429                                         135                                                  139             |
|               /    --- - 2*3 /   ---- + ---------  - -------------------------- + ---------------------------------------------------------------------------                                                                            | |                                                                                          /    --- - 2*3 /   ---- + ---------  - -------------------------- + --------------------------------------------------------------------------- | |                                                                               I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + -------------------------- | |                                                                               I*           /    - --- + 2*3 /   ---- + ---------  + --------------------------------------------------------------------------- + -------------------------- |
|              /      24     \/    3456      384               __________________                ______________________________________________________________              ______________________________________________________________| |              ______________________________________________________________             /      24     \/    3456      384               __________________                ______________________________________________________________ | |              ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________ | |              ______________________________________________________________               /        24     \/    3456      384                    ______________________________________________________________           __________________ |
|             /                                               /          _______                /              __________________                                           /              __________________                              | |             /              __________________                                          /                                               /          _______                /              __________________                               | |             /              __________________                                            /                                                      /              __________________                                        /          _______  | |             /              __________________                                            /                                                      /              __________________                                        /          _______  |
|            /                                               /  3985   \/ 63429                /              /          _______                                           /              /          _______                               | |            /              /          _______                                          /                                               /  3985   \/ 63429                /              /          _______                                | |            /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429   | |            /              /          _______                                            /                                                      /              /          _______                                        /  3985   \/ 63429   |
|           /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139                        /   115        /  3985   \/ 63429                139             | |           /   115        /  3985   \/ 63429                139                       /                                          72*3 /   ---- + ---------              /   115        /  3985   \/ 63429                139              | |           /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------  | |           /   115        /  3985   \/ 63429                139                         /                                                      /   115        /  3985   \/ 63429                139                72*3 /   ---- + ---------  |
|          /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------           /    --- + 2*3 /   ---- + ---------  + -------------------------- | |          /    --- + 2*3 /   ---- + ---------  + --------------------------          /                                              \/    3456      384       32*      /    --- + 2*3 /   ---- + ---------  + --------------------------  | |          /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384     | |          /    --- + 2*3 /   ---- + ---------  + --------------------------            /                                             32*      /    --- + 2*3 /   ---- + ---------  + --------------------------       \/    3456      384     |
|         /                                                                                 /      48     \/    3456      384               __________________          /      48     \/    3456      384               __________________ | |         /      48     \/    3456      384               __________________         /                                                                                 /      48     \/    3456      384               __________________  | |         /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                               | |         /      48     \/    3456      384               __________________           /                                                      /      48     \/    3456      384               __________________                               |
|        /                                                                                 /                                               /          _______          /                                               /          _______  | |        /                                               /          _______         /                                                                                 /                                               /          _______   | |        /                                               /          _______           /                                                      /                                               /          _______                                | |        /                                               /          _______           /                                                      /                                               /          _______                                |
|       /                                                                                 /                                               /  3985   \/ 63429          /                                               /  3985   \/ 63429   | |       /                                               /  3985   \/ 63429         /                                                                                 /                                               /  3985   \/ 63429    | |       /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                 | |       /                                               /  3985   \/ 63429           /                                                      /                                               /  3985   \/ 63429                                 |
|      /                                                                                 /                                          72*3 /   ---- + ---------        /                                          72*3 /   ---- + ---------  | |      /                                          72*3 /   ---- + ---------       /                                                                                 /                                          72*3 /   ---- + ---------   | |      /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                | |      /                                          72*3 /   ---- + ---------         /                                                      /                                          72*3 /   ---- + ---------                                |
|1   \/                                                                                \/                                              \/    3456      384         \/                                              \/    3456      384     | |1   \/                                              \/    3456      384        \/                                                                                \/                                              \/    3456      384      | |1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                   | |1   \/                                              \/    3456      384          \/                                                     \/                                              \/    3456      384                                   |
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$$\left(- \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{1}{8} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2}\right) \left(- \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}} - \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + \frac{115}{24}}}{2} + \frac{1}{8}\right) \left(\frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} - \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}\right) \left(\frac{1}{8} + \frac{\sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2} + \frac{i \sqrt{- \frac{115}{24} + \frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{135}{32 \sqrt{\frac{139}{72 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}} + \frac{115}{48} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}} + 2 \sqrt[3]{\frac{\sqrt{63429}}{384} + \frac{3985}{3456}}}}{2}\right)$$
=
3/2
$$\frac{3}{2}$$
3/2
Respuesta numérica [src]
x1 = -0.361268861788698
x2 = 1.39160648508488 + 0.473033595476784*i
x3 = 1.39160648508488 - 0.473033595476784*i
x4 = -1.92194410838107
x4 = -1.92194410838107